I'm not sure I know of any program that will both rename and extract. You can however extract a zip into a folder either windows itself or
Link Removed then use a program like
batch rename on those files to quickly rename them; then extract the next zip.
If you're looking for simple renaming just extract all the files; select them all; right-click say rename - enter some text like: May Photo then press enter; windows should rename them all May Photo 1, May Photo 2 and so on.
You could also extract all the zips to different folders; then drop all those folders into batch rename and have it rename and move them into a single folder. Something like: "..\All Photos\" + "Daughters Photos - " + SerialNumber(). This would do it...